Simulation of Two-Dimensional Nanomanipulation of Particles Based on the HK and LuGre Friction Models

Abstract

In previous research works, the manipulation of nanoparticles has been modeled using the Coulomb friction model. To have a precise displacement of nanoparticles, it is necessary to enhance the dynamic modeling of the manipulation process. Therefore, to improve the accuracy of the results afforded by the approximate Coulomb model, in this article, dynamic modeling of nanoparticle displacement has been carried out using the nanoscale friction models of HK and LuGre. The existing investigations show that in actual contacting surfaces, because of surface irregularities and unevenness, the real contact area is less than the apparent contact area and a reduction of the critical force is duly anticipated. According to the simulation results, replacing the nanoparticle manipulation models with the more precise friction models leads to reductions of critical time and force required for the nanoparticles’ movement. Thus, the obtained results confirm that the advantage of the new friction models is the higher accuracy and the closer conformity of the theoretical results with the experimental ones. Also, the results of change of cantilever dimensions and of contact conditions for the existing model and for the suggested models show a similar trend, which further proves the accuracy of the suggested models.